Answer:
From the given information, the value of a is 3 and the measurement of ∠R is 25°
Step-by-step explanation:
For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.
<em>ΔJKL ≅ ΔPQR</em>
This means that all of the angles and all of the sides of each triangle are going to be equal to each other.
So, knowing this, let;s find the measurement of ∠R first.
All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.
65 + 90 + m∠R = 180
Add 65 to 90.
155 + m∠R = 180
Subtract 155 from 180.
m∠R = 25°
So, the measurement of ∠R is 25°.
Now let's find the value of a.
KL is equal to PQ so we will set up an equation where they are equal to each other.
7a - 10 = 11
Add 10 to 11.
7a = 21
Divide 7 by 21.
a = 3
So, the value of a is 3.
Answer:
Step-by-step explanation:
4k^2 + 8k + 2 - 2k - 3
4k^2 + 6k - 1
answer is B
Answer:
x = 55 or x = 15
Step-by-step explanation:
Solve Absolute Value.
We know that either 1/5x - 7 = 4 or 1/5x - 7 = -4.
1/5x - 7 = 4
1/5x - 7 + 7 = 4 + 7
1/5x = 11
1/5x (5) = 11 (5)
x = 55 (one possibility)
1/5x - 7 = -4
1/5x - 7 + 7 = -4 + 7
1/5x = 3
1/5x (5) = 3 (5)
x = 15 (second possibility)
The answer is 4-2 the c one
